Calculating the Probability of Drawing All Diamonds from a Deck of Cards

[gray91]

Three cards are dealt from a standard deck of 52 cards. What is the probability that all of them will be diamonds?

If it helps, the topics for this unit are Bayes' Law, Problems involving permutations and combinations, problems involving Binomial Distribution, dependent events, independent events, and conditional probability.

What I've tried is 4/52 * 3/51 * 2/50 and the answer I've been getting (not necessarily correct, heh) is
(rounded) 0.000181 which seems way too small.

Unfortunately I don't know the correct answer and have been unable to find any examples like it help me with figuring it out.

If you could confirm my answer (i really think its wrong) or show me what i should be doing then that'd be great.

 

[danago]

Where did the 4 in 4/52 come from?

 

[gray91]

there are four aces in a deck of cards

 

[danago]

But didnt the question ask for diamonds, not aces?

Three cards are dealt from a standard deck of 52 cards. What is the probability that all of them will be diamonds?

 

[gray91]

awwwwwwwwwwwwwwwwwww

 

[gray91]

ok thank you, I can do it now... sorry about that

 

[gray91]

on a different note, can you delete threads?

 

[danago]

I think only moderators can delete threads.